Answer:
Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8
If A and J are complementary angles, that means that when they are added together, they equal 90 degrees. We can set up the equation 5x+30+4x+15=90.
5x+30+4x+15=90
9x+45=90
9x=45
x=5
:)
2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:
KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)
3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:
AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)
AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)
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Answer:

Step-by-step explanation:
We are given that
Length of roll of sod, l=3 feet
Width of roll of sod, b=1 feet
Length of courtyard, L=60 feet
Breadth of courtyard, B=50 feet
Area of rectangle=
Using the formula
Area of roll of sod=
Area of roll of sod=3 square feet
Area of courtyard=
square feet
Number of rolls of sod needed=
Using the formula
Number of rolls of sod needed=
Number of rolls of sod needed=
This is required expression which represents the number of rolls of sod needed.